Reduction of Hamiltonian Systems, Affine Lie Algebras and Lax Equations.
A.G. Reymann, M. Semenov-Tian-Shansky (1979)
Inventiones mathematicae
Similarity:
Displaying similar documents to “Reduction of Hamiltonian Systems, Affine Lie Algebras and Lax Equations II.”
Reduction of Hamiltonian Systems, Affine Lie Algebras and Lax Equations.
Completely Integrable Hamiltonian Systems Connected with Semisimple Lie Algebras.
M.A. Olshanetsky, A.M. perelomov (1976)
Inventiones mathematicae
Similarity:
Basic Representations of Affine Lie Algebras and Dual Resonance Models.
V.G. Kac, I.B. Frenkel (1980/81)
Inventiones mathematicae
Similarity:
A Lie connection between Hamiltonian and Lagrangian optics.
Dragt, Alex J. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
Similarity:
Modifying Lax Equations and the Second Hamiltonian Structure.
B.A. Kupershmidt, George Wilson (1980/81)
Inventiones mathematicae
Similarity:
Orbital theory for affine Lie algebras.
I.B. Frenkel (1984)
Inventiones mathematicae
Similarity:
Drinfeld-Sokolov hierarchies on truncated current Lie algebras
Paolo Casati (2011)
Banach Center Publications
Similarity:
In this paper we construct on truncated current Lie algebras integrable hierarchies of partial differential equations, which generalize the Drinfeld-Sokolov hierarchies defined on Kac-Moody Lie algebras.
Hypersurface geometry and Hamiltonian systems of hydrodynamic type.
Miyaoka, R. (1999)
Lobachevskii Journal of Mathematics
Similarity:
Integrable representations of affine Lie-algebras.
V. Chari (1986)
Inventiones mathematicae
Similarity:
Kac-Moody groups and integrability of soliton equations.
Boris Feigin, Edward Frenkel (1995)
Inventiones mathematicae
Similarity:
Hamiltonian Systems Close to Integrable Systems
E. Zenhder (1975)
Publications mathématiques et informatique de Rennes
Similarity:
Hamiltonian Dynamics on Pseudodifferential Symbols
Boris Khesin (1993)
Recherche Coopérative sur Programme n°25
Similarity:
Lie algebras of derivations and affine algebraic geometry over fields of characteristic 0.
Thomas Siebert (1996)
Mathematische Annalen
Similarity:
Affine Birman-Wenzl-Murakami algebras and tangles in the solid torus
Frederick M. Goodman, Holly Hauschild (2006)
Fundamenta Mathematicae
Similarity:
The affine Birman-Wenzl-Murakami algebras can be defined algebraically, via generators and relations, or geometrically as algebras of tangles in the solid torus, modulo Kauffman skein relations. We prove that the two versions are isomorphic, and we show that these algebras are free over any ground ring, with a basis similar to a well known basis of the affine Hecke algebra.